New posts in summation

Properties of Sigma sum

summation binomial-theorem

Is it possible to swap sums like that?

summation

Evaluating $ \sum\limits_{n=1}^\infty \frac{1}{n^2 2^n} $

calculus real-analysis sequences-and-series algebra-precalculus summation

Why is this weighted sum of binomials with alternating signs simplifies?

combinatorics summation binomial-coefficients

Double index summation: $\sum_{ 1 \leq i < j \leq 3 }(2i+j). $

summation notation

How to prove the inequality $\frac{1}{n}+\frac{1}{n+1}+\cdots+\frac{1}{2n-1}\geq \log (2)$?

inequality summation logarithms problem-solving

I am confused at a step in the proof of Cauchy Criterion otherwise known as Cauchy Condensation

real-analysis sequences-and-series summation proof-explanation

What's the formula for the 365 day penny challenge? [duplicate]

summation arithmetic

Find five consecutive odd integers such that their sum is $55$.

algebra-precalculus summation contest-math

Showing classic combinatorial $4^n$ identity using Vandermonde - What goes wrong? [duplicate]

combinatorics summation binomial-coefficients

Closed form of finite Euler sum $\sum_{k=1}^n \frac{ H_{k}}{(2k+1)}$

summation closed-form harmonic-numbers

Equality of the sums $\sum\limits_{v=0}^k \frac{k^v}{v!}$ and $\sum\limits_{v=0}^k \frac{v^v (k-v)^{k-v}}{v!(k-v)!}$

summation

Intuition to faulhabers sum of k-th power of n first integrals

summation sums-of-squares

Is Lebesgue integral w.r.t. counting measure the same thing as sum (on an arbitrary set)?

real-analysis sequences-and-series measure-theory summation lebesgue-integral

Simplify: $\frac{\sqrt{10+\sqrt{1}}+\sqrt{10+\sqrt{2}}+\ldots+\sqrt{10+\sqrt{99}}}{\sqrt{10-\sqrt{1}}+\sqrt{10-\sqrt{2}}+\ldots+\sqrt{10-\sqrt{99}}}$ [duplicate]

summation radicals

Is there any general formula for $S = 1^1 + 2^2 + 3^3 + \dotsb+(n - 1)^{n - 1} + n^n, n \in N$? [duplicate]

algebra-precalculus summation

In how many ways can the integers from $1$ to $n$ be divided into two groups with the same sum?

combinatorics summation integers

swap $\sum_k^\infty\sum_j^k$ [duplicate]

summation generating-functions

Relating alternating harmonic series with an example

calculus sequences-and-series summation

Could this conjecture be proved ? (sum of even powers of cotangents in arithmetic progression )

trigonometry polynomials summation closed-form